50.3.7 problem 1(g)

Internal problem ID [7831]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 1. What is a differential equation. Section 1.4 First Order Linear Equations. Page 15
Problem number : 1(g)
Date solved : Monday, January 27, 2025 at 03:24:24 PM
CAS classification : [_linear]

\begin{align*} x y^{\prime }-3 y&=x^{4} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 11

dsolve(x*diff(y(x),x)-3*y(x)=x^4,y(x), singsol=all)
 

\[ y = \left (x +c_{1} \right ) x^{3} \]

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 13

DSolve[x*D[y[x],x]-3*y[x]==x^4,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^3 (x+c_1) \]